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arXiv · 1805.12000

On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension

Nicolás Andruskiewitsch·Iván Angiono·István Heckenberger
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Abstract

We classify infinite-dimensional decomposable braided vector spaces arising from abelian groups whose components are either points or blocks such that the corresponding Nichols algebras have finite Gelfand-Kirillov dimension. In particular we exhibit examples with $\operatorname{GKdim} = n$ for any natural number $n$.

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Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger. 2018-05-30. On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension. https://arxiv.org/abs/1805.12000

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